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203020100100 = 223252225577889
BaseRepresentation
bin1011110100010011110…
…0001110001000000100
3201102000211010122222200
42331010330032020010
511311241121200400
6233133253154500
720445012243366
oct2750474161004
9642024118880
10203020100100
11791116100a4
123341b02ba30
13161b5c2055c
149b7d23ad36
155433688b00
hex2f44f0e204

203020100100 has 54 divisors (see below), whose sum is σ = 636355227690. Its totient is φ = 54138693120.

The previous prime is 203020100089. The next prime is 203020100123. The reversal of 203020100100 is 1001020302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 69730852356 + 133289247744 = 264066^2 + 365088^2 .

It is a super-2 number, since 2×2030201001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112788045 + ... + 112789844.

Almost surely, 2203020100100 is an apocalyptic number.

203020100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203020100100 is an abundant number, since it is smaller than the sum of its proper divisors (433335127590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203020100100 is a wasteful number, since it uses less digits than its factorization.

203020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225577909 (or 225577899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 203020100100 its reverse (1001020302), we get a palindrome (204021120402).

The spelling of 203020100100 in words is "two hundred three billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 225577889 451155778 676733667 902311556 1127889445 1353467334 2030201001 2255778890 2706934668 3383668335 4060402002 4511557780 5639447225 6767336670 8120804004 10151005005 11278894450 13534673340 16918341675 20302010010 22557788900 33836683350 40604020020 50755025025 67673366700 101510050050 203020100100